Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 136532, 8 pages
doi:10.1155/2009/136532
Research Article

Note on the q-Extension of Barnes' Type Multiple Euler Polynomials

Leechae Jang,1 Taekyun Kim,2 Young-Hee Kim,2 and Kyung-Won Hwang3

1Department of Mathematics and Computer Science, Konkuk University, Chungju 130-701, South Korea
2Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, South Korea
3Department of General Education, Kookmin University, Seoul 136-702, South Korea

Received 30 August 2009; Accepted 28 September 2009

Academic Editor: Vijay Gupta

Copyright © 2009 Leechae Jang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We construct the q-Euler numbers and polynomials of higher order, which are related to Barnes' type multiple Euler polynomials. We also derive many properties and formulae for our q-Euler polynomials of higher order by using the multiple integral equations on ℤp.